The inductance is measured in
A.Ohm
B.Farad
C.Henry
D.None of these
Answer
551.7k+ views
Hint: All electrical units are generally represented in the system of international units (SI System).
These SI units are equivalent to some derived units like Unit of resistance in derived form is volt per unit ampere which can be equivalent to ohm in SI System. Generally SI units are based on the names of their scientist.
Complete answer:
All the electrical units used for measurement of electric expression are generally based on the SI system of units. Some electrical units are fundamental units like Current. Unit of current is Ampere. Some electrical units are derived from fundamental units like Volt. Volt is the derived unit of potential difference. Some derived units are equivalent to the name of their scientist which can be called as SI unit. The unit of Inductance is Henry which is based on the name of a scientist.
Unit of charge i.e. Coulomb is expressed in the SI system always.
SI unit of Resistance is Ohm.
Since Expression for ohm’s law can be written as-
\[R=\dfrac{V}{I}\]
Since, SI unit of potential difference V is Volt and SI unit of current I is Ampere.
So Unit of Resistance R can be expressed as -
\[R=\dfrac{Volt}{Ampere}\]
Which can written in SI system as,
\[R=Ohm\]
So Finally SI unit of resistance is Ohm.
The SI unit of Capacitor is Farad.
Since Expression for Capacitance can be written as -
\[C=\dfrac{Ch\arg e}{potential\_difference}\]
\[C=\dfrac{q}{V}\]
Since, SI unit of charge q is Coulomb and SI unit of potential difference V is Volt.
So unit of capacitance C can be expressed as –
\[C=\dfrac{coulomb}{volt}\]
This can be expressed as-
\[C=Farad\]
So finally the SI unit of capacitance is Farad.
SI unit of inductance is Henry.
Since Expression for inductance can be expressed as-
\[L=\dfrac{Electric\_flux}{Current}\]
\[L=\dfrac{\phi }{I}\]
SI Unit of Electric flux is Weber and SI unit of current is Ampere.
So unit of self inductance L can be expressed as -
\[L=\dfrac{Weber}{Ampere}\]
This can expressed as-
\[L=Henry\]
So, Finally SI unit of inductance is Henry.
Option B is Correct.
Note:
SI units can also be expressed in power of 10 for that purpose some terms are defined along with units like mA represent milliampere. MA represents mega ampere. Mega ampere is larger than miliampere. Like nH represents nanohenry.So many other terms are used with units to mention them in larger quantity and smaller quantity.
These SI units are equivalent to some derived units like Unit of resistance in derived form is volt per unit ampere which can be equivalent to ohm in SI System. Generally SI units are based on the names of their scientist.
Complete answer:
All the electrical units used for measurement of electric expression are generally based on the SI system of units. Some electrical units are fundamental units like Current. Unit of current is Ampere. Some electrical units are derived from fundamental units like Volt. Volt is the derived unit of potential difference. Some derived units are equivalent to the name of their scientist which can be called as SI unit. The unit of Inductance is Henry which is based on the name of a scientist.
Unit of charge i.e. Coulomb is expressed in the SI system always.
SI unit of Resistance is Ohm.
Since Expression for ohm’s law can be written as-
\[R=\dfrac{V}{I}\]
Since, SI unit of potential difference V is Volt and SI unit of current I is Ampere.
So Unit of Resistance R can be expressed as -
\[R=\dfrac{Volt}{Ampere}\]
Which can written in SI system as,
\[R=Ohm\]
So Finally SI unit of resistance is Ohm.
The SI unit of Capacitor is Farad.
Since Expression for Capacitance can be written as -
\[C=\dfrac{Ch\arg e}{potential\_difference}\]
\[C=\dfrac{q}{V}\]
Since, SI unit of charge q is Coulomb and SI unit of potential difference V is Volt.
So unit of capacitance C can be expressed as –
\[C=\dfrac{coulomb}{volt}\]
This can be expressed as-
\[C=Farad\]
So finally the SI unit of capacitance is Farad.
SI unit of inductance is Henry.
Since Expression for inductance can be expressed as-
\[L=\dfrac{Electric\_flux}{Current}\]
\[L=\dfrac{\phi }{I}\]
SI Unit of Electric flux is Weber and SI unit of current is Ampere.
So unit of self inductance L can be expressed as -
\[L=\dfrac{Weber}{Ampere}\]
This can expressed as-
\[L=Henry\]
So, Finally SI unit of inductance is Henry.
Option B is Correct.
Note:
SI units can also be expressed in power of 10 for that purpose some terms are defined along with units like mA represent milliampere. MA represents mega ampere. Mega ampere is larger than miliampere. Like nH represents nanohenry.So many other terms are used with units to mention them in larger quantity and smaller quantity.
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